The Multispectral Image Edge Detection Based on Clifford Gradient

Taking full advantage of the multispectral properties of multispectral image, we should get the exceptional accurate edge. Clifford algebra is suit for dealing the multidimensional data, and can give expression to the association of the data better than the general algebra. It is a very rewarding method that to via Clifford algebra to get the edge of the multispectral image. In the paper, we discuss the base properties of Clifford algebra firstly, and then detail the Clifford algebra description of the multispectral image. Lastly the new Multispectral Image Edge Detection algorithm is proposed, which is based on the Clifford gradient. Compared the algorithm with maximal entropy edge detection algorithm in experiments, we generalize a conclusion that the new method can retain the more perfect edge information of the image.

[1]  Thomas Batard,et al.  A Metric Approach to nD Images Edge Detection with Clifford Algebras , 2009, Journal of Mathematical Imaging and Vision.

[2]  Gunilla Borgefors,et al.  Extracting multispectral edges in satellite images over agricultural fields , 1999, Proceedings 10th International Conference on Image Analysis and Processing.

[3]  Kashif Rajpoot,et al.  Hyperspectral colon tissue cell classification , 2004 .

[4]  A. H. Tewfik,et al.  Edge detection using spectral estimation techniques , 1989, Sixth Multidimensional Signal Processing Workshop,.

[5]  Hsien-Che Lee,et al.  Detecting boundaries in a vector field , 1991, IEEE Trans. Signal Process..

[6]  David A. Landgrebe,et al.  Information Extraction Principles and Methods for Multispectral and Hyperspectral Image Data , 1999 .

[7]  J. Byrnes.  Computational noncommutative algebra and applications , 2005 .

[8]  Akira Shiozaki,et al.  Edge extraction using entropy operator , 1986, Comput. Vis. Graph. Image Process..

[10]  Panos E. Trahanias,et al.  Color edge detection using vector order statistics , 1993, IEEE Trans. Image Process..

[11]  Carlo Tomasi,et al.  Edge, Junction, and Corner Detection Using Color Distributions , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Sokratis Makrogiannis,et al.  Color image edge detection based on nonparametric density estimation , 2001, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205).

[13]  Michael J. Garay,et al.  An operational MISR pixel classifier using support vector machines , 2007 .

[14]  V. Manian,et al.  Multiresolution edge detection algorithm applied to SAR images , 1999, IEEE 1999 International Geoscience and Remote Sensing Symposium. IGARSS'99 (Cat. No.99CH36293).

[15]  N. Younan,et al.  EDGE DETECTION IN MULTISPECTRAL IMAGERY VIA MAXIMUM ENTROPY , 2005 .

[16]  H. De Bie,et al.  On the Clifford-Fourier transform , 2010, 1003.0689.